9972054516736 has 99 divisors (see below), whose sum is σ = 21588582656673. Its totient is φ = 4601880391680.

The previous prime is 9972054516701. The next prime is 9972054516751. The reversal of 9972054516736 is 6376154502799.

The square root of 9972054516736 is 3157856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1475155993600 + 8496898523136 = 1214560^2 + 2914944^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1313664301 + ... + 1313671891.

Almost surely, 2^{9972054516736} is an apocalyptic number.

9972054516736 is the 3157856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9972054516736

9972054516736 is an abundant number, since it is smaller than the sum of its proper divisors (11616528139937).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9972054516736 is an frugal number, since it uses more digits than its factorization.

9972054516736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15228 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 64.

Multiplying 9972054516736 by its sum of digits (64), we get a square (638211489071104 = 25262848²).

9972054516736 divided by its sum of digits (64) gives a square (155813351824 = 394732²).

The spelling of 9972054516736 in words is "nine trillion, nine hundred seventy-two billion, fifty-four million, five hundred sixteen thousand, seven hundred thirty-six".